mathoftheday:

Suppose that the function f satisfies f (x) = 1 + f (x) for all x. If f (2) = 3, find: (a) f ^(10) (2) (where f^(10) denotes the 10th derivative of f ); (b) f (3). Justify your answers.

Suppose that the function f satisfies f (x) = 1 + f (x) for all x. If f (2) = 3, find:

(a) f ^(10) (2) (where f^(10) denotes the 10th derivative of f );

(b) f (3).

Justify your answers.

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